Histogram
Learn how to read and build histograms by grouping data into equal-size intervals, where touching bars show continuous data ranges like test scores.
Key Concepts
Property A histogram is a special type of bar graph. This histogram displays the data (test scores) in equal size intervals (ranges of scores). There are no spaces between the bars.
Examples A histogram of student heights might have touching bars for intervals like $50 54$ inches, $55 59$ inches, and $60 64$ inches. To show daily temperatures, you can use bars representing ranges like $70 75$ degrees, $76 80$ degrees, and $81 85$ degrees, all connected. Visualizing video game scores can be done with bars showing how many players scored $0 1000$, $1001 2000$, and $2001 3000$ points.
Explanation A histogram is like a city skyline for your data! Each building represents a group of numbers (an interval), and its height shows how many data points are in that group. Unlike regular bar graphs, the buildings in a histogram are always touching, showing that the data flows from one group to the next without any gaps in between.
Common Questions
What is a histogram and how is it different from a bar graph?
A histogram is a special type of bar graph that displays data grouped into equal-size intervals, such as ranges of test scores or heights. Unlike a regular bar graph that compares separate categories, a histogram shows continuous data, which is why there are no spaces between the bars.
Why do the bars in a histogram touch each other?
The bars in a histogram touch because the data flows continuously from one interval to the next without any gaps. For example, height intervals like 50-54 inches, 55-59 inches, and 60-64 inches are connected ranges, not separate categories.
What are intervals in a histogram?
Intervals are the equal-size ranges used to group data in a histogram, such as temperature ranges of 70-75 degrees or video game scores of 0-1000 and 1001-2000. Each bar's height shows how many data points fall within that interval.
How do you read a histogram in 6th grade math?
To read a histogram, look at each bar's position on the horizontal axis to identify the interval and its height on the vertical axis to find the count of data points in that range. For instance, a bar over the 1001-2000 range shows how many players scored within those points.